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Finding the Fourth Proportional to 697.13, 962.11 and 398.44

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Solution

The fourth proportional to 697.13, 962.11 and 398.44 is: 549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 962.11 = 398.44 : x
  2. Step 2: Convert to fraction form
    697.13/962.11 = 398.44/x
  3. Step 3: Cross multiply
    697.13x = 962.11 × 398.44
  4. Step 4: Simplify right side
    697.13x = 383,343.11
  5. Step 5: Solve for x
    x = 383,343.11/697.13
  6. Step 6: Final answer
    x = 549.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.